Real Solutions In A Second Degree Equation With Fuzzy Coefficients. Economical Applications

Abstract

Using mathematical techniques in the analysis of economic functions, generally polynomial, we obtain certain equations that may have as solutions imaginary or complex numbers. Unfortunately, the significance of this kind of solutions is the loss of some function properties, such as convexity, properties that are essential for the conservation of his economic meaning and his applications to the business world. This first work is based on the analysis of a certain “approximation’s matrix”, which allow us the deduction of the minimal supports that must have the fuzzy coefficients of a second degree equation with the purpose that all his solutions are real numbers.